AM-Compactness of some classes of operators

Belmesnaoui Aqzzouz; Jawad H'michane

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 4, page 509-518
  • ISSN: 0010-2628

Abstract

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We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.

How to cite

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Aqzzouz, Belmesnaoui, and H'michane, Jawad. "AM-Compactness of some classes of operators." Commentationes Mathematicae Universitatis Carolinae 53.4 (2012): 509-518. <http://eudml.org/doc/252545>.

@article{Aqzzouz2012,
abstract = {We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.},
author = {Aqzzouz, Belmesnaoui, H'michane, Jawad},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {AM-compact operator; order weakly compact operator; b-weakly compact operator; almost Dunford-Pettis operator; b-AM-compact operator; order continuous norm; discrete Banach lattice; AM-compact operator; order weakly compact operator; -weakly compact operator; almost Dunford-Pettis operator; Banach lattice},
language = {eng},
number = {4},
pages = {509-518},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {AM-Compactness of some classes of operators},
url = {http://eudml.org/doc/252545},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - H'michane, Jawad
TI - AM-Compactness of some classes of operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 4
SP - 509
EP - 518
AB - We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
LA - eng
KW - AM-compact operator; order weakly compact operator; b-weakly compact operator; almost Dunford-Pettis operator; b-AM-compact operator; order continuous norm; discrete Banach lattice; AM-compact operator; order weakly compact operator; -weakly compact operator; almost Dunford-Pettis operator; Banach lattice
UR - http://eudml.org/doc/252545
ER -

References

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